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A163426 Primes of the form ((p+1)/2)^3+((p-1)/2), p is prime. +0
7
29, 67, 349, 1009, 3389, 4111, 9281, 19709, 46691, 132701, 140659, 166429, 658589, 884831, 1000099, 1405039, 1520989, 1601729, 1728119, 2146817, 2460509, 2685757, 4574461, 7078079, 7880797, 10077911, 14887181, 23149409, 23393941, 27000299 (list; graph; listen)
OFFSET

1,1

COMMENT

((5+1)/2)^3+((5-1)/2)=27+2=29, ((7+1)/2)^3+((7-1)/2)=64+3=67,..

MATHEMATICA

f[n_]:=((p+1)/2)^3+((p-1)/2); lst={}; Do[p=Prime[n]; If[PrimeQ[f[p]], AppendTo[lst, f[p]]], {n, 6!}]; lst

CROSSREFS

Cf. A162652, A163418, A163419, A163420, A163421, A163422, A163424, A163425

Sequence in context: A165238 A118481 A141875 this_sequence A165945 A123372 A031343

Adjacent sequences: A163423 A163424 A163425 this_sequence A163427 A163428 A163429

KEYWORD

nonn,easy

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 27 2009

EXTENSIONS

Checked by Charles R Greathouse IV Aug 11 2009

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


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